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Simplifying 7 + 2(6y + -4) = -2(4y + -1) + 2y Reorder the terms: 7 + 2(-4 + 6y) = -2(4y + -1) + 2y 7 + (-4 * 2 + 6y * 2) = -2(4y + -1) + 2y 7 + (-8 + 12y) = -2(4y + -1) + 2y Combine like terms: 7 + -8 = -1 -1 + 12y = -2(4y + -1) + 2y Reorder the terms: -1 + 12y = -2(-1 + 4y) + 2y -1 + 12y = (-1 * -2 + 4y * -2) + 2y -1 + 12y = (2 + -8y) + 2y Combine like terms: -8y + 2y = -6y -1 + 12y = 2 + -6y Solving -1 + 12y = 2 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -1 + 12y + 6y = 2 + -6y + 6y Combine like terms: 12y + 6y = 18y -1 + 18y = 2 + -6y + 6y Combine like terms: -6y + 6y = 0 -1 + 18y = 2 + 0 -1 + 18y = 2 Add '1' to each side of the equation. -1 + 1 + 18y = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 18y = 2 + 1 18y = 2 + 1 Combine like terms: 2 + 1 = 3 18y = 3 Divide each side by '18'. y = 0.1666666667 Simplifying y = 0.1666666667
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